Roth's theorem and the Hardy-Littlewood majorant problem for thin subsets of primes

DOI10.1016/j.jfa.2023.110291arXiv2212.14513OpenAlexW4389670384MaRDI QIDQ6146587

Leonidas Daskalakis

Publication date: 15 January 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.14513

zbMATH Keywords

Roth's theoremHardy-Littlewood majorant problemdiscrete restriction estimatesexponential sum estimates

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Multipliers in one variable harmonic analysis (42A45) Arithmetic progressions (11B25)

Cites Work

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• On the Hardy-Littlewood majorant problem for arithmetic sets
• On certain other sets of integers
• On Roth's theorem on progressions
• Roth's theorem in the Piatetski-Shapiro primes
• Roth's theorem in the primes
• Roth's theorem on progressions revisited
• On the Hardy-Littlewood majorant problem for random sets
• The Pjateckii-Sapiro prime number theorem
• On triples in arithmetic progression
• Integer sets containing no arithmetic progressions
• A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
• ON THE UPPER AND LOWER MAJORANT PROPERTIES IN L^P(G)
• On Certain Sets of Positive Density
• Integer Sets Containing No Arithmetic Progressions
• Logarithmic bounds for Roth's theorem via almost-periodicity
• NOTES ON THE THEORY OF SERIES (XIX): A PROBLEM CONCERNING MAJORANTS OF FOURIER SERIES
• On Certain Sets of Integers
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• On the Strict Majorant Property in Arbitrary Dimensions

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